Least Common Multiple of 7007/101, 5824/4105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7007/101, 5824/4105 quickly i.e. 448448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7007/101, 5824/4105 is 448448.

LCM(7007/101, 5824/4105) = 448448

LCM of 7007/101, 5824/4105

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7007/101,5824/4105

Given numbers are 7007/101,5824/4105

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7007,5824

Least Common Multiple of Numerators i.e. LCM of 7007,5824 is 448448.

GCF of Denominators means GCF of 101,4105 as per the given fractions.

GCF of 101,4105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7007,5824

LCM of Fractions 7007/101,5824/4105 is 448448

7 7007, 5824
13 1001, 832
77, 64

∴ So the LCM of the given numbers is 7 x 13 x 77 x 64 = 448448

Least Common Multiple of 7007,5824 with GCF Formula

Least Common Multiple of 7007,5824 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7007,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7007,5824) = 91

common factors(in case of two or more numbers have common factors) = 1

GCF(7007,5824) x common factors =91 x 1 = 91

LCM(7007,5824) = ( 7007 × 5824 ) / 91

LCM(7007,5824) = 40808768 / 91

LCM(7007,5824) = 448448


Lets's calculate GCF of 101,4105

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448448/1

Therefore the LCM of Fractions 7007/101,5824/4105 is 448448

Greatest Common Factor of 101,4105 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,4105 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 4105

List of positive integer factors of 4105 that divides 4105 without a remainder.

1,5,821,4105

Greatest Common Factor

We found the factors 101,4105 . The biggest common factor number is the GCF number.
So the greatest common factor 101,4105 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7007/101, 5824/4105

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7007/101, 5824/4105?

Answer: LCM of Numerators as per given numbers 7007/101, 5824/4105 is

LCM of Numerators i.e. for 7007,5824 is 448448

GCF of denominators i.e. for 101,4105 is 1.

Thus, LCM of Fractions is 448448.Finally, LCM of Fractions for 7007/101, 5824/4105 is 448448.